what is the conjecture of this solution?
topic: sum of finite geometric sequence.
question: find the sum of the first eight terms of -3, 3, -3, 3, …..
Answer (1)
Answer:The conjecture used in this solution is the formula for the sum of a finite geometric series. The formula is: S_n = a(1 - r^n) / (1 - r) Where: - S_n is the sum of the first n terms of the series- a is the first term- r is the common ratio- n is the number of terms The image shows the steps to calculate the sum of the first eight terms of the geometric series -3, 3, -3, 3... using this formula. 1. It identifies the first term (a = -3) and the common ratio (r = -1).2. It then plugs these values into the formula along with n = 8.3. It simplifies the equation to arrive at the answer, which is S_8 = 0. Therefore, the conjecture used in this solution is the formula for the sum of a finite geometric series.
